Quantum Uncertainty in Curved Space-time

This study presents a novel derivation of Heisenberg’s uncertainty principle, demonstrating its natural emergence from the Planck lattice description of quantum space-time. Moreover, according to our Planck lattice framework, the dynamics of quantum space-time offer a unique theoretical approach for...

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Main Author: L. Nash
Format: Article
Language:English
Published: World Scientific Publishing 2025-01-01
Series:Reports in Advances of Physical Sciences
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Online Access:https://www.worldscientific.com/doi/10.1142/S2424942425500069
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author L. Nash
author_facet L. Nash
author_sort L. Nash
collection DOAJ
description This study presents a novel derivation of Heisenberg’s uncertainty principle, demonstrating its natural emergence from the Planck lattice description of quantum space-time. Moreover, according to our Planck lattice framework, the dynamics of quantum space-time offer a unique theoretical approach for evaluating Heisenberg’s uncertainty principle within the context of Schwarzschild space-time. This represents an expansion of quantum uncertainty into the realm of relativity theory and gravity. Our formulation of Heisenberg’s uncertainty principle in Schwarzschild space-time offers a new understanding of Hawking radiation that relies on the thermodynamics of quantum uncertainty. Importantly, our findings indicate that the spectrum of radiation emitted by a Schwarzschild black hole is consistent with that of a blackbody, which agrees with established theories.
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institution Kabale University
issn 2424-9424
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spelling doaj-art-bf34cec1cedb492bb67faf678d59d9312025-08-20T03:51:19ZengWorld Scientific PublishingReports in Advances of Physical Sciences2424-94242529-752X2025-01-010910.1142/S2424942425500069Quantum Uncertainty in Curved Space-timeL. Nash0Independent Researcher, Marietta, GA 30060, USAThis study presents a novel derivation of Heisenberg’s uncertainty principle, demonstrating its natural emergence from the Planck lattice description of quantum space-time. Moreover, according to our Planck lattice framework, the dynamics of quantum space-time offer a unique theoretical approach for evaluating Heisenberg’s uncertainty principle within the context of Schwarzschild space-time. This represents an expansion of quantum uncertainty into the realm of relativity theory and gravity. Our formulation of Heisenberg’s uncertainty principle in Schwarzschild space-time offers a new understanding of Hawking radiation that relies on the thermodynamics of quantum uncertainty. Importantly, our findings indicate that the spectrum of radiation emitted by a Schwarzschild black hole is consistent with that of a blackbody, which agrees with established theories.https://www.worldscientific.com/doi/10.1142/S2424942425500069Uncertainty principleHawking radiationquantum space-time fluctuationsnull surfaceWien’s displacement law
spellingShingle L. Nash
Quantum Uncertainty in Curved Space-time
Reports in Advances of Physical Sciences
Uncertainty principle
Hawking radiation
quantum space-time fluctuations
null surface
Wien’s displacement law
title Quantum Uncertainty in Curved Space-time
title_full Quantum Uncertainty in Curved Space-time
title_fullStr Quantum Uncertainty in Curved Space-time
title_full_unstemmed Quantum Uncertainty in Curved Space-time
title_short Quantum Uncertainty in Curved Space-time
title_sort quantum uncertainty in curved space time
topic Uncertainty principle
Hawking radiation
quantum space-time fluctuations
null surface
Wien’s displacement law
url https://www.worldscientific.com/doi/10.1142/S2424942425500069
work_keys_str_mv AT lnash quantumuncertaintyincurvedspacetime